ofPICte. o solve the problems, you may only use knowledge from pre-calculus courses, Weeks 1-11 of the course, and Sections 1.1-3.10, 4.1-4.4, 4.6-4.7, and 5.1 of the textbook. Problem 1. Let L be a fixed positive number. 'You have a piece of string of length L. You cut the string into two pieces, one of length a and one of length L -x. Then you make a square out of the piece of string of length r and a circle out of the picce of string of length L - z. Find the value of r that maximises the total arca enclosed by the square and the circle